2834757972 has 120 divisors (see below), whose sum is σ = 7982805600. Its totient is φ = 874286784.

The previous prime is 2834757967. The next prime is 2834757977. The reversal of 2834757972 is 2797574382.

2834757972 is a `hidden beast` number, since 2 + 83 + 475 + 7 + 97 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2834757967) and next prime (2834757977).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2834757977) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 259354 + ... + 270062.

It is an arithmetic number, because the mean of its divisors is an integer number (66523380).

Almost surely, 2^2834757972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2834757972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991402800).

2834757972 is an abundant number, since it is smaller than the sum of its proper divisors (5148047628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2834757972 is a wasteful number, since it uses less digits than its factorization.

2834757972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10787 (or 10776 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The square root of 2834757972 is about 53242.4452105649. The cubic root of 2834757972 is about 1415.2679173213.

The spelling of 2834757972 in words is "two billion, eight hundred thirty-four million, seven hundred fifty-seven thousand, nine hundred seventy-two".